FRACTALS: CONSTRUCTION OR EMERGENCE? PART II. FRACTALS' EMERGENCE IN QUASI-EMPIRICAL APPROACH (Fraktale: konstrukcja czy emergencja? Cz.II. Emergencja fraktalna w podejsciu quasi-empirycznym)

• Authors: Pietrak Jaroslaw , Szydlowski Marek , Tambor Pawel
• Languages of publication: PL

Abstracts

EN

The aim of the second part of this philosophical diptych is an attempt at discussing the place of the meta-subject reflection concerning fractal structures in classical issues of the philosophy of mathematics. The authors show that fractal structures lead toward essential broadening of that issues beyond traditional frames of the questions about the nature of mathematical objects (ontology of mathematics) or the status of mathematical knowledge (epistemology of mathematics). Particularly, they are interested in two problems: (1) Does process of generating fractal structures prove that co-called new mathematics has quasi-empirical character and in what meaning of that? and (2) Can the philosophical idea of emergence be applied to characterise the features of that structures?

Keywords

EN

EMERGENCE; FRACTALS; MATHEMATICS; QUASI-EMPIRISTIC; SUPERVENIENCE

Discipline

• PHILOSOPHY: PHILOSOPHY

• Publisher: Science Studies Committee, Polish Academy of Sciences
• Journal: Zagadnienia Naukoznawstwa
• Year: 2010
• Volume: 46
• Issue: 2
• Pages: 271-302
• Document type: ARTICLE

Contributors

author

Pietrak Jaroslaw

author

Szydlowski Marek

author

Tambor Pawel

• Jaroslaw Pietrak, Centrum Kopernika Badan Interdyscyplinarnych, ul. Slawkowska 17, 31-016 Kraków, Poland

Identifiers

CEJSH db identifier

10PLAAAA088522